Question

Solve each system by substitution

-5x + 8y = -12
-7x + 4y = -24

Answer 1

-3/-2

Answer 2

First, solve the first equation for y:

-5x + 8y = -12
8y = 5x - 12
y = 5x/8 - 12/8
y = 5x/8 - 3/2

Now substitute y = 5x/8 - 3/2 into the second equation:

-7x + 4(5x/8 - 3/2) = -24
-7x + 5x/2 - 6 = -24
-14x + 5x - 12 = -48
-9x = -36
x = 4

Now, substitute x = 4 back into the first equation to find y:

-5(4) + 8y = -12
-20 + 8y = -12
8y = 8
y = 1

Therefore, the solution to the system of equations is x = 4 and y = 1.

Answer 3

-3 / -2 is equal to 1.5 or 3/2.

When you divide a negative number by a negative number, the result is positive. So, -3 divided by -2 equals 1.5.